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Finding the Fourth Proportional to 177,588.27, 266,373.71 and 65,259.84

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Solution

The fourth proportional to 177,588.27, 266,373.71 and 65,259.84 is: 97,886.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,588.27 : 266,373.71 = 65,259.84 : x
  2. Step 2: Convert to fraction form
    177,588.27/266,373.71 = 65,259.84/x
  3. Step 3: Cross multiply
    177,588.27x = 266,373.71 × 65,259.84
  4. Step 4: Simplify right side
    177,588.27x = 17,383,505,694.81
  5. Step 5: Solve for x
    x = 17,383,505,694.81/177,588.27
  6. Step 6: Final answer
    x = 97,886.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.